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Popular >

x^2(x^2+9)>6x^3

Solution

x^{2} (x^{2} + 9) > 6 x^{3}

Solution

x < 0 or 0 < x < 3 or x > 3

+1

Interval Notation

(- \infty, 0) \cup (0, 3) \cup (3, \infty)

Solution steps

x^{2} (x^{2} + 9) > 6 x^{3}

Rewrite in standard form

x^{4} + 9 x^{2} - 6 x^{3} > 0

Factor

x^{4} + 9 x^{2} - 6 x^{3} : x^{2} (x - 3)^{2}

x^{2} (x - 3)^{2} > 0

Identify the intervals

x < 0 or 0 < x < 3 or x > 3

Popular Examples

simplify (1/(3h^5))^{-4}simplify

(\frac{1}{3 h ^{5}})^{- 4}

factor 4x^2+32x-36 factor

4 x^{2} + 32 x - 36

- 20 = 11 n

(x - 9)^{2} (x + 2) > 0

factor a^2+6a+9 factor

a^{2} + 6 a + 9

Frequently Asked Questions (FAQ)

What is x^2(x^2+9)>6x^3 ?
The solution to x^2(x^2+9)>6x^3 is x<0\lor 0<x<3\lor x>3